Q: What are the prime factors of the number 717,662,556?

 A: 2, 3, 13, 117959

Why are those the prime factors of the number 717,662,556?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 717,662,556

717,662,556
Factor Arrows
2358,831,278
Factor Arrows
2179,415,639
Factor Arrows
359,805,213
Factor Arrows
319,935,071
Factor Arrows
131,533,467
Factor Arrows
13117,959

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 117959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 13 x 117,959 = 717,662,556

This can also be written as 22 x 32 x 132 x 117,9591 = 717,662,556

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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